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21284352 = 293231149
BaseRepresentation
bin101000100110…
…0011000000000
31111001100122100
41101030120000
520422044402
62040110400
7345625335
oct121143000
944040570
1021284352
1111018281
127165400
134542bbb
142b8098c
151d0671c
hex144c600

21284352 has 120 divisors (see below), whose sum is σ = 63835200. Its totient is φ = 6819840.

The previous prime is 21284339. The next prime is 21284369. The reversal of 21284352 is 25348212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142774 + ... + 142922.

It is an arithmetic number, because the mean of its divisors is an integer number (531960).

Almost surely, 221284352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917600).

21284352 is an abundant number, since it is smaller than the sum of its proper divisors (42550848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21284352 is a wasteful number, since it uses less digits than its factorization.

21284352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 21284352 is about 4613.4967215768. The cubic root of 21284352 is about 277.1320860842.

The spelling of 21284352 in words is "twenty-one million, two hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 149 186 192 248 256 279 288 298 372 384 447 496 512 558 576 596 744 768 894 992 1116 1152 1192 1341 1488 1536 1788 1984 2232 2304 2384 2682 2976 3576 3968 4464 4608 4619 4768 5364 5952 7152 7936 8928 9238 9536 10728 11904 13857 14304 15872 17856 18476 19072 21456 23808 27714 28608 35712 36952 38144 41571 42912 47616 55428 57216 71424 73904 76288 83142 85824 110856 114432 142848 147808 166284 171648 221712 228864 295616 332568 343296 443424 591232 665136 686592 886848 1182464 1330272 1773696 2364928 2660544 3547392 5321088 7094784 10642176 21284352